201201312210201 has 48 divisors (see below), whose sum is σ = 293976788468688. Its totient is φ = 132591252672000.

The previous prime is 201201312210193. The next prime is 201201312210209. The reversal of 201201312210201 is 102012213102102.

201201312210201 is a `hidden beast` number, since 2 + 0 + 120 + 1 + 312 + 210 + 20 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (201201312210193) and next prime (201201312210209).

It can be written as a sum of positive squares in 8 ways, for example, as 4787365880025 + 196413946330176 = 2188005^2 + 14014776^2 .

It is not a de Polignac number, because 201201312210201 - 2³ = 201201312210193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201201312210209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1908208255 + ... + 1908313691.

It is an arithmetic number, because the mean of its divisors is an integer number (6124516426431).

Almost surely, 2^{201201312210201} is an apocalyptic number.

It is an amenable number.

201201312210201 is a deficient number, since it is larger than the sum of its proper divisors (92775476258487).

201201312210201 is a wasteful number, since it uses less digits than its factorization.

201201312210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108922 (or 108919 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201201312210201 its reverse (102012213102102), we get a palindrome (303213525312303).

The spelling of 201201312210201 in words is "two hundred one trillion, two hundred one billion, three hundred twelve million, two hundred ten thousand, two hundred one".